# The Use of One Sample t-Test in the Real Data

## Authors

• Mowafaq Al-kassab Department of Mathematics Education/ College of Education/ Tishk International University/ Iraq

## Keywords:

Confidence interval, Significant difference, One sample t-test, variance, Descriptive statistics, Grades, Great points average (GPA)

## Abstract

The t-statistic is the ratio of the departure of the estimated value of a parameter from its hypothesized value to its standard error. The term "t-statistic" is abbreviated from "hypothesis test statistic". It was first derived as a posterior distribution in 1876 by Helmertand Lüroth. The purpose of this research is to study the t-test, especially the one sample t-test to determine if the sample data come from the same population. The grade points average (GPA) of the students for the second, third, and fourth grades of the Department of Mathematics Education, Tishk International University are used. The one sample t test is used to predict the GPA of the students for the second, third, and the fourth grades respectively, in addition to the overall average scores for the three grades. The 95% confidence interval for the true population average is also conducted.

## References

Flannelly, K. J., Jankowski, K. R. B., & Flannelly, L. T. (2015). "Measures of variability in chaplaincy, health care, and related research". Journal of Health Care Chaplaincy, 21(3), 122–130. doi:10.1080/08854726.2015.105467

Gerald, B. (2018) "A Brief Review of Independent, Dependent and One Sample t-test" International Journal of Applied Mathematics and Theoretical Physics Vol. (4), No. 2, 50-54.

Gosset, W. S. (1908). "William Sealy Gosset." Biographical Encyclopedia of Mathematicians 1: 239.

Helmert, F. (1876). "Die Genauigkeit der Formel von Peters zur Berechnung des wahrscheinlichen Beobachtungsfehlers director Beobachtungen gleicher Genauigkeit." Astronomische Nachrichten 88: 113.

Heckert, N. A., Filliben, J. J., Croarkin, C. M., Hembree, B., Guthrie, W. F., Tobias, P., & Prinz, J. (2002). Handbook 151: NIST/SEMATECH e-Handbook of Statistical Methods.

Jankowski, K. R. B., & Flannelly, K. J. (2015). " Measures of central tendency in chaplaincy, healthcare, and related research". Journal of Health Care Chaplaincy, 21(1), 39–49. doi:10.1080/08854726.2014.989799.

Katherine R. B. Jankowski,Kevin J. Flannelly &Laura T. Flannelly. (2018). " The t-test: An Influential Inferential Tool in Chaplaincy and Other Healthcare Research" Journal of Health Care Chaplaincy, Vol. 24, No 1, https://doi.org/10.1080/08854726.2017.1335050

McDonald, J. H. (2009). Handbook of biological statistics. Vol. (2): sparky house publishing Baltimore, MD.

McDonald, J.H. (2014). "Handbook of Biological Statistics". Third Edition. University of Delaware. Baltimore, Maryland, U.S.A.: Sparky House Publishing

Mishra P, Pandey CM, Singh U, Gupta A, Sahu C, Keshri A. (2019) "Descriptive statistics and normality tests for statistical data". Ann Card Anaesth , Vol. 22, No.1, 67-72.

Pagano, R. P. (2012). "Understanding statistics in the behavioral sciences" (10th ed.). Belmont, CA: Wadsworth.

Pandey, R. M (2015). " Commonly Used t-tests in Medical Research". Journal of the Practice of Cardiovascular Sciences. Vol. 1. No. 2.

Pearson, K. (1894). "Contributions to the mathematical theory of evolution." Philosophical Transactions of the Royal Society of London. A 185: 71-110.

Philip J. B. (1984) “A Biographical Glimpse of William Sealy Gosset”. The American errors in the articles". The Korean journal of pain, 23(1), 35.

2022-09-03

## How to Cite

Al-kassab, M. (2022). The Use of One Sample t-Test in the Real Data. JOURNAL OF ADVANCES IN MATHEMATICS, 21, 134–138. https://doi.org/10.24297/jam.v21i.9279

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